Question

Can I get help with this. Its linear equations.

Answer 1

Answer: y =
`-(5)/(2)`x - 3

Explanation:

We will write the equation of this line in slope-intercept form. This is y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we can use the "rise over run" method. This finds the change in y over the change in x. Starting at (0,-3) we count 5 units down and 2 units right to (2, -8). This gives us our slope at
`-(5)/(2)`.

To find the y-intercept, we will see where the line intersects the y-axis. Here, that is at (0, -3), so our y-intercept is -3.

This gives us an answer of y =
`-(5)/(2)`x - 3.